Tools for 3D-object retrieval: Karhunen-Loeve transform and spherical harmonics

By Dejan V. Vranic, Dietmar Saupe, Jörg Richter. 2001 IEEE Fourth Workshop on Multimedia Signal Processing (Cat. No.01TH8564), 2001

374 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Computational Mechanics, Computer Vision and Pattern Recognition

View Paper: https://www.semanticscholar.org/paper/7dd95ccfcf568e029baad3619e1fc0ad930a9cbe

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In Aerospace Engineering

In Computational Mechanics

In Computer Vision and Pattern Recognition

Citations in the corpus

A search engine for 3D models (2003, methodology): “Others have used spherical harmonics to obtain multiresolution representations of shape [Saupe and Vrani 2001; Vranic et al. 2001], however, they require a priori registration with principal axes.”
3D Model Retrieval (2001, background): “More useful features will be derived from 3D shape of the objects, in particular when they are invariant with respect to rotation, translation and scaling.”
A survey of content based 3D shape retrieval methods (2004, methodology): “[129] introduce a ray-based descriptor that describes a surface by associating to each ray from the origin the distance to the last point of intersection of the ray with the model.”
Deepshape: Deep learned shape descriptor for 3D shape matching and retrieval (2015, background): “Shape descriptors for shape matching and retrieval have been extensively studied in the geometry community [30, 14, 12, 31, 25].”
Three-dimensional shape searching: state-of-the-art review and future trends (2005, neutral): “Vranic and Saupe [96,97] developed a 3D shape descriptor based on spherical harmonics.”
3D Model Retrieval with Spherical Harmonics and Moments (2001, methodology): “For details we refer to [11].”
3D deep shape descriptor (2015, background): “, D2 shape distribution [36], statistical moments [15], Fourier descriptor [49, 42], Light Field Descriptor [10], Eigenvalue Descriptor [25], etc.”
Salient geometric features for partial shape matching and similarity (2006, methodology): “Recently, new methods were developed for the retrieval of 3D models in the context of a Web search engine, based on geometric properties rather than textual ones [Elad et al. 2001; Vranic et al. 2001; Iyer et al.”